please click the image to get a clear view.
These are called strange attractors. You either use scripting (i.e. Python, C#, etc.) or an add-on that handles it for you.
In 2019, I’d implemented about 40 strange attractors in Python:
I would recommend the Chimpanzee plug-in, which includes 2D chaotic maps and oscillators, 3D strange attractors, 4D hyperchaotic systems, etc.
In September there will be Chimpanzee 0.4 released with some major features update including escape-time fractals.
Chaos_V4C.gh (124.4 KB)
PS: If you know C# you can very easily modify C# N3 ( for other “chaotic” stuff ).